Least Common Multiple (LCM) of 85 and 146
The least common multiple (LCM) of 85 and 146 is 12410.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 85 and 146?
First, calculate the GCD of 85 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 85 ÷ 146 = 0 remainder 85 |
| 2 | 146 ÷ 85 = 1 remainder 61 |
| 3 | 85 ÷ 61 = 1 remainder 24 |
| 4 | 61 ÷ 24 = 2 remainder 13 |
| 5 | 24 ÷ 13 = 1 remainder 11 |
| 6 | 13 ÷ 11 = 1 remainder 2 |
| 7 | 11 ÷ 2 = 5 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 22 | 2112 |
| 101 and 79 | 7979 |
| 181 and 176 | 31856 |
| 114 and 191 | 21774 |
| 82 and 75 | 6150 |